If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the y-axis, it has an equation of (x - h)^2<span> = 4p(y - k)</span><span>, where the </span>focus<span> is (h, k+p) and the </span>directrix<span> is y = k - p. So, we need to determine the values from the equation.
</span><span>y=1/28(x-4)^2-5
</span>(x-4)^2 = 28(y+5)<span>
(h,k) = (4, -5)
p = 7
focus= </span>(h, k+p) = 4,2
directrix = y = k - p = -12
Hope this answers the question.
Answer:
I hope that you are doing well, during this weird time; and that this message finds you in a good place.
To get you started on this problem, you will want to think about how to go about graphing this linear function. You want to keep in mind that you want to plot your dependent variable on the y-axis, as it changes with respect to your independent variable (plotted on the x-axis). In this problem, the cost of the water bill depends on the amount of water used, in HCF. So the graph should be plotted with cost on the y-axis, and HCF on the x-axis.
It follows that you are given the coordinates of (16, $48.37) and (22, y2); where y2 represents the cost when using 22 HCF. You are also given the slope of your line (m, in y = mx + b format). You may recall that you can set-up a slope as the change in y over the change in x, or the "rise over the run" [m = (y2-y1) / (x2-x1)]. We can set this problem up, using this equation to solve for y2 (the cost at 22 HCF) algebraically.
So we would set up the problem as 1.65 = (y2-48.37)/(22-16). We then solve by combining like-terms and using inverse operations as follows:
1.65 = (y2 - 48.37) / 6
1.65(6) = y2 - 48.37
9.9 = y2 - 48.37
y2 = $58.27
Step-by-step explanation:
Answer: 30,636.
How I got my answer: First, I multiplied 666 x 46 then I got 30,636. If you need any help use a calculator.
M= y2-y1/x2-x1
3-0/6-12= 3/-6= -1/2
(Slope) m=-1/2
The equivalent expression to Daryl's expression is -5 + 7d ⇒ d
Step-by-step explanation:
In a regular polygon of n-side
- All sides are equal in lengths
- All angles are equal in measures
- Its perimeter is n × the length of one side
∵ The polygon is a pentagon
∴ n = 5
∵ The pentagon is regular
∴ The lengths of its 5 sides are equal
∵ Its perimeter = 5 × length of one side
∵ Its perimeter = 35d - 25
- Equate the two sides of the perimeter
∴ 5 × length of one side = 35d - 25
- Divide both sides by 5
∵ 35d ÷ 5 = 7d and 25 ÷ 5 = 5
∴ The length of one side = 7d - 5
Daryl's expression is 7d - 5
Now lets check the answers
a. 35d - 25 ⇒ No
b. 7d - 15 ⇒ No
c. 5(35 - 25) ⇒ No
d. -5 + 7d ⇒ Yes
e. (35d - 25) ⇒ No
The equivalent expression to Daryl's expression is -5 + 7d
Learn more:
You can learn more about polygons in brainly.com/question/6281564
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